Form the smallest 5-digit odd number with the digits. Use each digit only once. \[ 5,6,2,3,7 \]

To form the smallest 5-digit odd number using the digits 5, 6, 2, 3, and 7, we need to position the digits such that the last digit is odd since the number must be odd. The odd digits available are 5, 3, and 7. To ensure the overall number is as small as possible, we should first select 2, 3, and 6 for the leading digits in ascending order. We then choose the smallest odd digit for the last position. Placing 5 at the end gives us the smallest combination: 2, 3, 6, 7, and 5. Thus, the smallest 5-digit odd number we can form is **23675**.